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Structured Factorization Approaches for Quantum State Tomography
Zhen Qin, Joseph M. Lukens, Brian T. Kirby +1
Since the complexity of quantum state tomography (QST) scales exponentially with system size, exploiting priors such as low-rankness, tensor-network structures, and neural-network…
Statistical and Algorithmic Foundations of Probing Quantum Systems with Compressive Measurements: A Review
Zhen Qin, Michael B. Wakin, Zhihui Zhu
Quantum state tomography (QST) is a fundamental task in quantum information science that aims to reconstruct unknown quantum states from measurement data. However, the exponential…
An Exponential Advantage for Adaptive Tomography of Structured States under Pauli Basis Measurements
Alireza Goldar, Zhen Qin, Zhihui Zhu +2
Broad claims about whether adaptivity helps in quantum state tomography can be misleading unless the state family, measurement architecture, and error metric are specified carefull…
Quantum State Tomography for Tensor Networks in Two Dimensions
Zhen Qin, Zhihui Zhu
Recent work has shown that for one-dimensional quantum states that can be effectively approximated by matrix product operators (MPOs), a polynomial number of copies of the state su…
Optimal Allocation of Pauli Measurements for Low-rank Quantum State Tomography
Zhen Qin, Casey Jameson, Zhexuan Gong +2
The process of reconstructing quantum states from experimental measurements, accomplished through quantum state tomography (QST), plays a crucial role in verifying and benchmarking…
Sample-Efficient Quantum State Tomography for Structured Quantum States in One Dimension
Zhen Qin, Casey Jameson, Alireza Goldar +3
While quantum state tomography (QST) remains the gold standard for benchmarking and verifying quantum devices, it requires an exponentially large number of measurements and classic…
Optimal quantum state tomography with local informationally complete measurements
Casey Jameson, Zhen Qin, Alireza Goldar +3
Quantum state tomography (QST) remains the gold standard for benchmarking and verification of near-term quantum devices. While QST for a generic quantum many-body state requires an…